Pith Number

pith:LPWN7H5I

pith:2012:LPWN7H5IAV4LW2RD4KAN5XIQIA

not attested not anchored not stored refs pending

Solutions to conjectures on the $(k,\ell)$-rainbow index of complete graphs

Jiangli Song, Qingqiong Cai, Xueliang Li

arxiv:1212.6845 v1 · 2012-12-31 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPWN7H5IAV4LW2RD4KAN5XIQIA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:37:30.739340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5becdf9fa80578bb6a23e280dedd10402101a558b1af969be0195f70188dbeec

Aliases

arxiv: 1212.6845 · arxiv_version: 1212.6845v1 · doi: 10.48550/arxiv.1212.6845 · pith_short_12: LPWN7H5IAV4L · pith_short_16: LPWN7H5IAV4LW2RD · pith_short_8: LPWN7H5I

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LPWN7H5IAV4LW2RD4KAN5XIQIA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5becdf9fa80578bb6a23e280dedd10402101a558b1af969be0195f70188dbeec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771ff2b663b8e856b50879abc9b38f71e2dfb786b9e2b02d3d1c7b4064fd6488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-31T09:24:43Z",
    "title_canon_sha256": "1f9685c3f59a0ff915fbacdd5c4d25f4c4ff664cd92cc916fa0bf52c57d0ac40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6845",
    "kind": "arxiv",
    "version": 1
  }
}